Question

the angles of q triangle are in the ratio 1:2:3. Find the each angles​

Answer 1

Sum of all angles of a triangle = 180°

angle 1=1x

angle 2=2x

angle 3=3x

1x+2x+3x=180°

6x=180°

x= 180/6

x=30

1x=1 x 30 = 30

2x=2 x 30 = 60

3x=3 x 30 =90

30,60,90 are the three angles of the triangle.....

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Answer 2

GIVEN:

Ratio of angles in a triangle, I.e, 1:2:3

SOLUTION:

Let's assume the common ratio to be 'x'

Angles in a triangle always sum up to 180⁰. This is known as Angle Sum Property of triangles.

==> 1x + 2x + 3x = 180⁰ [A.S.P]

==> 6x = 180⁰

==> x = 180/6

==> x = 30

Since, we've got the value of x, now we can find the value of each angles,

==> 1(30), 2(30), and 3(30)

==> 30⁰, 60⁰, and 90⁰

∴ Required angles are 30⁰, 60⁰ & 90⁰